Question

ASAP

What is the horizontal asymptote of this graph?

and

What is the y-intercept? What does this mean in terms of the snake population?
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Answer 1

The y intercept is 5 and this means that the number of snakes started out as 5

Answer 2

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Answer:

• horizontal asymptote: y = 0
• y-intercept: (0, 5)
• the snake population was 5 in year 0

Explanation:

The initial value of this function is the y-intercept, marked as (0, 5). The label on the graph tells you this is the snake population in year 0.

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We note that the snake population goes up by a factor of 2 for each increase of 1 in the number of years. This indicates the function is an exponential function with a base of 2.

y = 5·2^t

Any exponential function will have a horizontal asymptote of y = 0.